Example

Simplifying βˆ’7(8βˆ’15y)-7(8 - 15y) Using the Distributive Property

To simplify the expression βˆ’7(8βˆ’15y)-7(8 - 15y), use the distributive property to multiply the negative factor βˆ’7-7 by each term inside the parentheses.

Step 1 β€” Distribute: Multiply βˆ’7-7 by 88 and βˆ’7-7 by βˆ’15y-15y: (βˆ’7)(8)βˆ’(βˆ’7)(15y)(-7)(8) - (-7)(15y)

Step 2 β€” Multiply: Compute the products. For the first term, (βˆ’7)(8)=βˆ’56(-7)(8) = -56. For the second term, (βˆ’7)(15y)=βˆ’105y(-7)(15y) = -105y. The expression becomes: βˆ’56βˆ’(βˆ’105y)-56 - (-105y)

Step 3 β€” Simplify: Since subtracting a negative is the same as adding a positive, βˆ’(βˆ’105y)-(-105y) becomes +105y+105y: βˆ’56+105y-56 + 105y

This simplifies the original expression into a final binomial.

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Updated 2026-05-26

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